Homework Answers
Suppose after descending 65 cm , speed of centre is v.
then angular speed w = v/r
at that point total KE = translational KE + rotational KE
= m v^2 /2 + Iw^2 /2 = (m v^2 /2 ) + ( (m r^2)(v/r)^2 /2)
KE = mv^2 /2 + mv^2 /2 = mv^2
using energy conservation,
PEi + KEi = PEf + KEf
mgh + 0 = 0 + mv^2
9.81 x 0.65 = v^2
v = 2.52 m/s ...........Ans ( B)
A) w = v/r = 2.52 / 0.08 = 31.56 rad/s
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Exercise 10.20A string is wrapped several times around the rim of a small hoop with radius...
A string is wrapped several times around the rim of a small hoop with radius 8.00...
A string is wrapped several times around the rim of a small hoop
with radius 8.00 cm and mass 0.180 kg. The free end of the string
is held in place and the hoop is released from rest (the figure ).
After the hoop has descended 80.0 cm, calculate
A.the angular speed of the rotating hoop and
B.the speed of its center.
A string is wrapped several times around the rim of a small hoop with radius 8.00...
A string is wrapped several times around the rim of a small hoop
with radius 8.00 cm and mass 0.180 kg. The free end of the string
is held in place and the hoop is released from rest (the figure ).
After the hoop has descended 55.0 cm, calculate
a) the angular speed of the rotating hoop in rad/s
b) the speed of its center. in m/s
//img.homeworklib.com/questions/c1abfe10-34e4-11ea-a388-1d01955dc7d0.jpg
Please answer the questions specific. thank you!
Questions 9-12: A string is wrapped several times around the rim of a small hoop with...
Questions 9-12: A string is wrapped several times around the rim of a small hoop with radius R=0.1 m and mass 3kg. The free end of the string is held in place and the hoop is released from rest (see figure below). After the hoop has descended 2 m, (points) 9) The acceleration of the hoop as it descends 2 m 10) The moment of Inertia of the hoop is 11) The angular speed of the rotating hoop 12) The...
A string is attached to the rim of a small hoop of radius r= 8.00×10−2 m...
A string is attached to the rim of a small hoop of radius r= 8.00×10−2 m and mass m = 0.180 kg and then wrapped several times around the rim. If the free end of the string is held in place and the hoop is released from rest and allowed to drop, as shown in the figure (Figure 1) , calculate the angular speed and the translational speed of the rotating hoop after it has descended h = 0.750 m...
Question Six (10 points): Unwinding a falling hoop A lightweight string is wrapped several times around...
Question Six (10 points): Unwinding a falling hoop A lightweight string is wrapped several times around the rim of a small hoop. The hoop's mass is 800 [8). If the free end of the string is held in place and the hoop is released from rest, the string unwinds and the hoop descends. Calculate the following: (a) What is the angular acceleration of the hoop? (b) What is the time dependence of instantaneous power that is developed by gravitational force?...
Please be as clear and detailed as possible. Please include any formulas and diagrams you use...
Please be as clear and
detailed as possible. Please include any formulas and diagrams you
use to solve the problem. Thank you!
4. A string is wrapped about the rim of a small hoop with a radius 8.00 cm and a mass of 0.180 kg. The free end of the string is held fixed and the hoop is released from rest. After the hoop has descended 75.0 cm, calculate (a) the angular speed of the rotating hoop and (b) the...
PartA A light string is wrapped around the outer rim of a solid uniform cylinder of...
PartA A light string is wrapped around the outer rim of a solid uniform cylinder of diameter 75.0 cm that can rotate without friction about an axle through its center. A 3.00 kg stone is tied to the free end of the string, as shown in the figure (Figure 1) When the system is released from rest, you determine that the stone reaches a speed of 3.50 m/s after having fallien 2.50m What is the mass of the cylinder? kg...
A string is wrapped around a uniform cylinder of mass M and radius R as shown...
A string is wrapped around a uniform cylinder of mass M and radius R as shown in figure 4. The cylinder is released from rest with the string vertical and its top end tied to a fixed bar. a. Show that the tension in the string is one-third the weight of the cylinder. b. Show that the magnitude of the acceleration of the center of gravity is 2g/3. c. Show that the speed of the center of gravity is (4gl/3)^1/2...
A light rope is wrapped several times around a large wheel with a radius of 0.395...
A light rope is wrapped several times around a large wheel with a radius of 0.395 m. The wheel rotates in frictionless bearings about a stationary horizontal axis, as shown in the figure (Figure 1). The free end of the rope is tied to a suitcase with a mass of 16.5 kg. The suitcase is released from rest at a height of 4.00 m above the ground. The suitcase has a speed of 3.00 m/s when it reaches the ground....
A light string is wrapped around the outside of a 2.0-kg-wheel whose radius is 75 cm....
A light string is wrapped
around the outside of a 2.0-kg-wheel whose radius is 75 cm. The
wheel has a frictionless axel that allows it to rotate but prevents
its center of mass from moving. Assume the moment of inertia of the
wheel is the same as that of a point particle of equal mass at the
same radius from the axel. The string is then attached to a 3.0-kg
hanging mass that is released from rest. While the mass...
A string is wrapped several times around the rim of a small hoop
with radius 8.00 cm and mass 0.180 kg. The free end of the string
is held in place and the hoop is released from rest (the figure ).
After the hoop has descended 80.0 cm, calculate
A.the angular speed of the rotating hoop and
B.the speed of its center.
A string is wrapped several times around the rim of a small hoop
with radius 8.00 cm and mass 0.180 kg. The free end of the string
is held in place and the hoop is released from rest (the figure ).
After the hoop has descended 55.0 cm, calculate
a) the angular speed of the rotating hoop in rad/s
b) the speed of its center. in m/s
//img.homeworklib.com/questions/c1abfe10-34e4-11ea-a388-1d01955dc7d0.jpg
Please answer the questions specific. thank you!
Questions 9-12: A string is wrapped several times around the rim of a small hoop with radius R=0.1 m and mass 3kg. The free end of the string is held in place and the hoop is released from rest (see figure below). After the hoop has descended 2 m, (points) 9) The acceleration of the hoop as it descends 2 m 10) The moment of Inertia of the hoop is 11) The angular speed of the rotating hoop 12) The...
Question Six (10 points): Unwinding a falling hoop A lightweight string is wrapped several times around the rim of a small hoop. The hoop's mass is 800 [8). If the free end of the string is held in place and the hoop is released from rest, the string unwinds and the hoop descends. Calculate the following: (a) What is the angular acceleration of the hoop? (b) What is the time dependence of instantaneous power that is developed by gravitational force?...
Please be as clear and
detailed as possible. Please include any formulas and diagrams you
use to solve the problem. Thank you!
4. A string is wrapped about the rim of a small hoop with a radius 8.00 cm and a mass of 0.180 kg. The free end of the string is held fixed and the hoop is released from rest. After the hoop has descended 75.0 cm, calculate (a) the angular speed of the rotating hoop and (b) the...
PartA A light string is wrapped around the outer rim of a solid uniform cylinder of diameter 75.0 cm that can rotate without friction about an axle through its center. A 3.00 kg stone is tied to the free end of the string, as shown in the figure (Figure 1) When the system is released from rest, you determine that the stone reaches a speed of 3.50 m/s after having fallien 2.50m What is the mass of the cylinder? kg...
A string is wrapped around a uniform cylinder of mass M and radius R as shown in figure 4. The cylinder is released from rest with the string vertical and its top end tied to a fixed bar. a. Show that the tension in the string is one-third the weight of the cylinder. b. Show that the magnitude of the acceleration of the center of gravity is 2g/3. c. Show that the speed of the center of gravity is (4gl/3)^1/2...
A light rope is wrapped several times around a large wheel with a radius of 0.395 m. The wheel rotates in frictionless bearings about a stationary horizontal axis, as shown in the figure (Figure 1). The free end of the rope is tied to a suitcase with a mass of 16.5 kg. The suitcase is released from rest at a height of 4.00 m above the ground. The suitcase has a speed of 3.00 m/s when it reaches the ground....
A light string is wrapped
around the outside of a 2.0-kg-wheel whose radius is 75 cm. The
wheel has a frictionless axel that allows it to rotate but prevents
its center of mass from moving. Assume the moment of inertia of the
wheel is the same as that of a point particle of equal mass at the
same radius from the axel. The string is then attached to a 3.0-kg
hanging mass that is released from rest. While the mass...
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